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Logarithmic Functions
Logarithmic scales are used when the range of possible values is very wide, such as the intensity of an earthquake or the acidity of a liquid, in order to avoid the use of large numbers.
Evaluate the following:
\[ \Large 9^{\log_{3}(4)} \]
Do not use a calculator -- not even a slide rule!
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by
Dmytri Eck
\[ \large \log_2 3 \times \log_3 4 \times \log_4 5 \times \cdots\times \log_{127} 128 = \, ? \]
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by
حسن العطية
True or false:
\(\quad \quad \) \(\log_{x}1=0\) for every \(x>0\).
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by
Hjalmar Orellana Soto
\[ \large \sum_{\text{cyclic}(a,b,c)} \left( \dfrac1{1 + \log_a bc} \right) = \, ? \] Source: BMA IIT Foundation Course
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by
Abhiram Rao
Which of the options is correct about the number \(\log _{ 4 }{ 18 } \)?
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by
Anandhu Raj